λ
Prime Ledger

2,765,144

23 × 345643
Deficient Even Composite

2,765,144 has the prime decomposition 2^3 × 345643. Its 2 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 345643
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,184,660
Proper Divisor Sum 2,419,516
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #2765143 ← → #2765173

Radix Representation

Decimal 2765144
Binary 1010100011000101011000 (22 bits)
Octal 0o12430530
Hexadecimal 0x2A3158

Divisor Catalog (8)

1 2 4 8 345,643 691,286 1,382,572 2,765,144

Collatz Trajectory (76 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

2,765,144 1,382,572 691,286 345,643 1,036,930 518,465 1,555,396 777,698 388,849 1,166,548 583,274 291,637 874,912 437,456 218,728 109,364 54,682 27,341 82,024 41,012 20,506 10,253 30,760 15,380 7,690 3,845 11,536 5,768 2,884 1,442 721 2,164 1,082 541 1,624 812 406 203 610 305 916 458 229 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14

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